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Finding the Third Proportional to 27,891 and 40,095

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Solution

The third proportional to 27,891 and 40,095 is: 57,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 40,095 = 40,095 : x
  2. Step 2: Convert to fraction form
    27,891/40,095 = 40,095/x
  3. Step 3: Cross multiply
    27,891x = 40,095 × 40,095
  4. Step 4: Simplify right side
    27,891x = 1,607,609,025
  5. Step 5: Solve for x
    x = 1,607,609,025/27,891
  6. Step 6: Final answer
    x = 57,638.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.